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Finding the Fourth Proportional to 665.70, 995.88 and 575.37

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Solution

The fourth proportional to 665.70, 995.88 and 575.37 is: 860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.70 : 995.88 = 575.37 : x
  2. Step 2: Convert to fraction form
    665.70/995.88 = 575.37/x
  3. Step 3: Cross multiply
    665.70x = 995.88 × 575.37
  4. Step 4: Simplify right side
    665.70x = 572,999.48
  5. Step 5: Solve for x
    x = 572,999.48/665.70
  6. Step 6: Final answer
    x = 860.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.